Further results on oscillation of hyperbolic differential equations of neutral type

• Autorzy: Wang M. , Wang P. G. , Ge W.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate a class of hyperbolic differential equations of neutral type [wzór] (E) and obtain some new sufficient conditions of the oscillation for such equations satisfying boundary condition [wzór] (B)

Słowa kluczowe

EN

oscillation; hyperbolic equation; boundary value problem; distributed deviating arguments

PL

wahania; równanie hiperboliczne; zagadnienie brzegowe; rozproszone, odbiegające argumenty

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2004
• Tom: Vol. 10, nr 1
• Strony: 117--129
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Wang M.

• College of Electronic and Information Engineering Hebei University Baoding, 071002 People`s Republic of China

autor

Wang P. G.

• College of Electronic and Information Engineering Hebei University Baoding, 071002 People`s Republic of China

autor

Ge W.

• Department of Applied Mathematics Beijing Institute of Technology Beijing, 100081 People’s Republic of China

Bibliografia

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• [2] Bainov, D. D., Cui, B. T., Minchev, E., Oscillation properties of the solutions of hyperbolic equations with deviating arguments, Demonstratio Math. 29(1) (1996), 61-68.
• [3] Kreith, K., Kusano, T., Yoshida, N., Oscillation properties of nonlinear hyperbolic equations, SIAM J.Math Anal. 15 (1984), 570-578.
• [4] Lalli, B. S., Yu, Y. H., Cui, B. T., Oscillations of certain partial differential equations with deviating arguments, Bull. Austral. Math. Soc. 46 (1992), 373-380.
• [5] Lalli, B. S., Yu, Y. H., Cui, B. T., Forced oscillations of the hyperbolic differential equations with deviating arguments, Indian J. Pure Appl. Math. 25(4) (1995), 387- 397.
• [6] Liu, X. Z., Fu, X. L., Oscillation criteria for nonlinear inhomogeous hyperbolic equations with distrubited deviating arguments, J. Appl. Math. Stochastic Anal. 1 (1996), 21-31.
• [7] Mishev, D. P., Bainov, D. D., Oscillation properties of a class of hyperbolic equations of neutral type, Funkcial Ekvac. 29(2) (1986), 213-218.
• [8] Wang, P. G., Yu, Y. H., Oscillation of a class of hyperbolic boundary value problem, Appl. Math. Lett. 10(7) (1999), 91-98.
• [9] Wang, P. G., Oscillations for certain nonlinear delay hyperbolic equations, Indian J. Pure Appl. Math. 30(6) (1995), 557-565.
• [10] Wang, P. G., Forced oscillation of a class of delay hyperbolic equations boundary value problem, Appl. Math. Comput. 103(1) (1999), 15-25.
• [11] Yoshida, N., On the zeros of solutions of hyperbolic equations of neutral type, Differential Integral Equations 3 (1990), 155-160.